我目前有四张 pgfplot，每张图都有标题。但是，我无法将其中两张图与标题并排。另外，itemize 应该放在图表后面，而不是前面。我想要的只是五张图表，然后在底部添加一些注释。
这是我目前得到的。
\usepackage{tikz}
\usepackage{pgfplots}
\usetikzlibrary{intersections}
\usetikzlibrary{patterns}
\geometry{
a4paper,
total={170mm,257mm},
left=20mm,
top=20mm,
bottom=20mm
}
\begin{document}
\vspace{-15mm}\begingroup
\centering
\LARGE Logarithmic Functions and Transformations of it\\[0.5em]
\endgroup
\begin{figure}[ht]
\begin{tikzpicture}[E/.style={font=\small,text=black, sloped, pos=0.75}]
\begin{axis}[axis line style=thick,
axis x line=center,
axis y line=center,
samples=500,
ytick={-4,-2,...,4,6},
xtick={0,2,...,10},
ymin=-7, ymax=7, xmin=-1, xmax=11, xlabel=\(x\), ylabel=\(y\), grid=major]
\addplot[name path=A,domain=4:8] { ln(x)} node[E,above] {\scriptsize$y=ln(x)$};
\addplot[name path global=line1, color=blue!50, thick, domain=0.001:11]{ln(x)};
\addplot[name path=A,domain=4:6] { 2*ln(x)} node[E,above] {\scriptsize$y=2\,ln(x)$};
\addplot[name path global=line1, color=red!50, thick, domain=0.001:11]{2*ln(x)};
\addplot[name path=A,domain=8:10] { 0.5*ln(x)} node[E,above] {\scriptsize$y=\frac{1}{2}ln(x)$};
\addplot[name path global=line1, color=green!80!black, thick, domain=0.001:11]{0.5*ln(x)};
\end{axis}
\end{tikzpicture}
\caption{Vertical Expansion/Contraction by adjusting $A$}
\begin{tikzpicture}[E/.style={font=\small,text=black, sloped, pos=0.75}]
\begin{axis}[axis line style=thick,
axis x line=center,
axis y line=center,
samples=500,
ytick={-4,-2,...,4,6},
xtick={0,2,...,10},
ymin=-3, ymax=5, xmin=-1, xmax=11, xlabel=\(x\), ylabel=\(y\), grid=major]
\addplot[name path=A,domain=4:8] { ln(x)} node[E,above] {\scriptsize$y=ln(x)$};
\addplot[name path global=line1, color=blue!50, thick, domain=0.001:11]{ln(x)};
\addplot[name path=A,domain=4:6] { ln(2*x)} node[E,above] {\scriptsize$y=ln(2x)$};
\addplot[name path global=line1, color=red!50, thick, domain=0.001:11]{ln(2*x)};
\addplot[name path=A,domain=8:10] { ln(0.5*x)} node[E,above] {\scriptsize$y=ln(\frac{1}{2}x)$};
\addplot[name path global=line1, color=green!70!black, thick, domain=0.001:11]{ln(0.5*x)};
\end{axis}
\end{tikzpicture}
\caption{Horizontal Expansion/Contraction by adjusting C}
\end{figure}
\begin{figure}[ht]
\begin{tikzpicture}[E/.style={font=\small,text=black, sloped, pos=0.75}]
\begin{axis}[axis line style=thick,
axis x line=center,
axis y line=center,
samples=500,
ytick={-6,-4,...,4,6},
xtick={-4,-2,...,4},
ymin=-7, ymax=7, xmin=-5, xmax=7, xlabel=\(x\), ylabel=\(y\), grid=major]
\addplot[name path=A,domain=2:4] { ln(x)} node[E,below] {\scriptsize$y=ln(x)$};
\addplot[name path global=line1, color=blue!50, thick, domain=0.001:7]{ln(x)};
\addplot[name path=A,domain=0.5:3] { ln(x+3)} node[E,above] {\scriptsize$y=ln(x+3)$};
\addplot[name path global=line1, color=red!50, thick, domain=-2.999:7]{ln(x+3)};
\addplot[name path=A,domain=3:6] { ln(x-3)} node[E,below=10pt] {\scriptsize$y=ln(x-3)$};
\addplot[name path global=line1, color=green!70!black, thick, domain=3.001:7]{ln(x-3)};
\end{axis}
\end{tikzpicture}
\caption{Horizontal Translation by adjusting C}
\begin{tikzpicture}[E/.style={font=\small,text=black, sloped, pos=0.75}]
\begin{axis}[axis line style=thick,
axis x line=center,
axis y line=center,
samples=500,
ytick={-6,-4,...,4,6},
xtick={-4,-2,...,4},
ymin=-7, ymax=7, xmin=-5, xmax=7, xlabel=\(x\), ylabel=\(y\), grid=major]
\addplot[name path=A,domain=2:4] { ln(x)} node[E,below] {\scriptsize$y=ln(x)$};
\addplot[name path global=line1, color=blue!50, thick, domain=0.001:7]{ln(x)};
\addplot[name path=A,domain=0.5:3] { ln(x)+3} node[E,above] {\scriptsize$y=ln(x)+3$};
\addplot[name path global=line1, color=red!50, thick, domain=-2.999:7]{ln(x)+3};
\addplot[name path=A,domain=3:6] { ln(x)-3} node[E,below=10pt] {\scriptsize$y=ln(x)-3$};
\addplot[name path global=line1, color=green!70!black, thick, domain=3.001:7]{ln(x)-3};
\end{axis}
\end{tikzpicture}
\caption{Vertical Translation by adjusting $D$}
\begin{tikzpicture}[E/.style={font=\small,text=black, sloped, pos=0.75}]
\begin{axis}[axis line style=thick,
axis x line=center,
axis y line=center,
samples=500,
ytick={-6,-4,...,4,6},
xtick={-4,-2,...,4},
ymin=-7, ymax=7, xmin=-5, xmax=7, xlabel=\(x\), ylabel=\(y\), grid=major]
\addplot[name path=A,domain=2:4] { ln(x)} node[E,below] {\scriptsize$y=ln(x)$};
\addplot[name path global=line1, color=blue!50, thick, domain=0.001:7]{ln(x)};
\addplot[name path=A,domain=0.5:3] { ln(x)+3} node[E,above] {\scriptsize$y=-ln(x)$};
\addplot[name path global=line1, color=red!50, thick, domain=-2.999:7]{-ln(x)};
\addplot[name path=A,domain=3:6] { ln(-x)} node[E,below=10pt] {\scriptsize$y=ln(-x)$};
\addplot[name path global=line1, color=green!70!black, thick, domain=3.001:7]{ln(-x)};
\end{axis}
\end{tikzpicture}
\end{figure}
\begin{itemize}
\item $a$ is the base of the logarithm. The higher it is, the flatter the graph. Normally we do not consider transformations using the base.
\item The larger the $A$, the bigger the expansion. Contrarily, the smaller it is, the larger the contraction.
\item The larger the $B$, the flatter the graph becomes. Contrarily, the smaller it is, it pushes the graph towards the $y$-axis, making the graph higher for the same $x$ values.
\item If $C$ is positive, this shifts the graph to the left. If it is negative, it shifts the graph to the right. Note that there will be a vertical asymptote of $x=-C$.
\item If $D$ is positive, this shifts the graph up. If it is negative, it shifts the graph down. The verical asymptote remains as $x=-C$
\end{itemize}
\end{document}
